A photographer at the scene said he saw a trail of blood running down the footpath.
It appeared the rider may have collided with a nearby brick wall, he said.
"There were two Lime scooters near the intersection of Bedford St and Parnell Rise.
"Police officers put a cordon in place to stop members of the public from coming near the scene."
Lime NZ public affairs manager Lauren Mentjox said the company is saddened to hear of last night's accident and their thoughts are with those affected.
As with all safety incidents, Lime offered their full support to local authorities, she said.
"Safety is our number one priority, and we urge riders to always put the safety of themselves and others before anything else when riding our scooters.
"We invest significant resources in scooter safety and education including initiatives and events to encourage safe and responsible scooter use."
Mentjox said Lime is stepping up their education and safety programmes across the country and will be holding weekly First Right events throughout Summer.